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doc#129 | perspective de Jonquieres involution of | order | <formul> and the invariant locus must have |
doc#129 | of a general plane field of lines, is of | order | <formul> and class <formul>. Finally, the |
doc#129 | Since the complex of singular lines is of | order | k and since there is no complex of invariant |
doc#129 | involution there is a cone of invariant lines of | order | <formul>, namely the cone of secants of |
doc#129 | image of this pencil is a ruled surface of | order | <formul> which is met by the plane of the |
doc#129 | vertex is transformed into a ruled surface of | order | <formul> having <formul> generators concurrent |
doc#129 | concurrent at P. Since a ruled surface of | order | n with n concurrent generators is necessarily |
doc#129 | congruence of its secants is therefore of | order | <formul> and class <formul>. </p><p> A final |
doc#108 | writers, mourning the demise of the old | order | , tended to romanticize and exaggerate this |
doc#108 | writers hypnotically cling to the older | order | because they consider it useful and reliable |
doc#129 | more than k points or, alternatively, the | order | of the image regulus of the pencil determined |
doc#129 | additional complex of singular lines, the | order | of the image regulus of a pencil is precisely |
doc#129 | Q in two points which are invariant. The | order | of this congruence is <formul>, since <formul> |
doc#109 | approximate" is important, because even after the | order | of the work has been established by the |
doc#109 | drawing of random numbers may determine the | order | of the segments for any particular performance |
doc#43 | Then will come nine other states in the | order | of their admission to the union. </p><p> |
doc#109 | . The composer may reverse or invert the | order | of his original set of intervals (or rhythms |
doc#129 | , namely <formul> and whose class is the | order | of the image congruence of a general plane |
doc#129 | lines is a congruence whose order is the | order | of the congruence of invariant lines, namely |
doc#117 | At meter wave lengths an increase of the | order | of 10° K in the average disk temperatures |